2. The data of the velocity of a body is given as a function oftime in the table below. Determine the value of the velocity att=16 seconds using: (this is the table)
t(s) 0 15 18 22
v(t) 22 24 37 25
a) Newton’s divided difference first order polynomialmethod.
b) Newton’s divided difference second order polynomialmethod.
c) Newton’s divided difference third order polynomialmethod.